Question

If m arc AB = 120°, then which of the following have measures of 60°? (pick as many as you want)

a)∠ADB
b)∠ACD
c)∠BCA
d)∠BAD
e) m arc BC

Answer 1

<BCA, <ADB, measures 60 degrees.

Answer 2

The correct answers are:

a)∠ADB; and c)∠BCA.

Step-by-step explanation:

The measure of an intercepted arc is twice as much as the measure of its inscribed angle. AB corresponds with both ∠ADB and ∠BCA. Since the arc is 120°, each angle would be half of that, or 60°.